Theory of VIbrations detailed Syllabus for Aerospace Engineering (AS), 2018 scheme has been taken from the VTUs official website and presented for the VTU students. For Course Code, Subject Names, Teaching Department, Paper Setting Board, Theory Lectures, Tutorial, Practical/Drawing, Duration in Hours, CIE Marks, Total Marks, Credits and other information, visit full semester subjects post given below. The Syllabus PDF files can also be downloaded from the official website of the university.
For all the other VTU AS 6th Sem Syllabus for BE 2018 Scheme, visit Aerospace Engineering 6th Sem 2018 Scheme.
For all the (Professional Elective-1) subjects refer to Professional Elective-1 Scheme. The detail syllabus for theory of vibrations is as follows.
Course Objectives:
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Module 1
Introduction: Types of vibrations, S.H.M, principle of super position applied to Simple Harmonic Motions. Beats, Fourier theorem and simple problems.
Module 2
Undamped Free Vibrations: Single degree of freedom systems. Undamped free vibration, natural frequency of free vibration, Spring and Mass elements, effect of mass of spring, Compound Pendulum. Damped Free Vibrations: Single degree of freedom systems, different types of damping, concept of critical damping and its importance, study of response of viscous damped systems for cases of under damping, critical and over damping, Logarithmic decrement.
Module 3
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Module 4
Systems with Two Degrees of Freedom: Introduction, principle modes and Normal modes of vibration, coordinate coupling, generalized and principal co-ordinates, Free vibration in terms of initial conditions. Geared systems. Forced Oscillations-Harmonic excitation. Applications: Vehicle suspension, Dynamic vibration absorber and Dynamics of reciprocating Engines. Continuous Systems: Introduction, vibration of string, longitudinal vibration of rods, Torsional vibration of rods, Euler’s equation for beams.
Module 5
Numerical Methods for Multi-Degree Freedom Systems: Introduction, Influence coefficients, Maxwell reciprocal theorem, Dunkerley’s equation. Orthogonality of principal modes, Method of matrix iteration-Method of determination of all the natural frequencies using sweeping matrix and Orthogonality principle. Holzer’s method, Stodola method.
Course Outcomes:
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Question paper pattern:
- The question paper will have ten full questions carrying equal marks.
- Each full question will be for 20 marks.
- There will be two full questions (with a maximum of four sub- questions) from each module.
- Each full question will have sub- question covering all the topics under a module.
- The students will have to answer five full questions, selecting one full question from each module.
Text Books:
- Theory of Vibration with Applications W.T. Thomson and Marie Dillon Dahleh Pearson Education 5th edition, 2008
- Mechanical Vibrations V.P. Singh DhanpatRai& Company Pvt. Ltd 2016
Reference Books:
For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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For the detail Syllabus of all other subjects of BE (AS) 6th Sem, visit Aerospace Engineering 6th Sem Subjects.
For all (CBSE & Non-CBSC) BE/B.Tech results, visit VTU BE/B.Tech all semester results.